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Finding the Fourth Proportional to 7,288.50, 10,058.16 and 4,144.68

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Solution

The fourth proportional to 7,288.50, 10,058.16 and 4,144.68 is: 5,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.50 : 10,058.16 = 4,144.68 : x
  2. Step 2: Convert to fraction form
    7,288.50/10,058.16 = 4,144.68/x
  3. Step 3: Cross multiply
    7,288.50x = 10,058.16 × 4,144.68
  4. Step 4: Simplify right side
    7,288.50x = 41,687,854.59
  5. Step 5: Solve for x
    x = 41,687,854.59/7,288.50
  6. Step 6: Final answer
    x = 5,719.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.